Answer:
Always.
Step-by-step explanation:
That is the reason why when you are trying to calculate the area of a triangle you do the base x height divided by two or in half. If you printed out the triangle twice then cut it out and put the two together it would be a rectangle.
Consecutive integers are 1 apart
they are
x,x+1,x+2
the sum of their squares is 194
x²+(x+1)²+(x+2)²=194
expand
x²+x²+2x+1+x²+4x+4=194
x²+x²+x²+2x+4x+1+4=194
3x²+6x+5=194
minus 5 from both sides
3x²+6x=189
3(x²+2x)=189
divide both sides by 3
x²+2x=63
minus 63 from bot sides
x²+2x-63=0
what 2 numbers multiply to get -63 and add to get 2
-7 and 9
(x-7)(x+9)=0
set each to zero
x-7=0
x=7
x+9=0
x=-9
for x=7
x+1=8
x+2=9
for x=-9
x+1=-8
x+2=-7
the integers are 7,8,9 or -9,-8,-7
The probability that none of the shoes are black is:
The probability of the shoe that black is: 0.2
The probability of the shoe that is not black is: 0.8
Black: 0.2
Not black: 0.8
Since we’re looking for the probability of the shoe that is
not black and there are 3 in a row, the answer will be = 0.8^3
= 0.8^3 will give you the equivalent of 0.512
If changed in percent form, the answer will be: 51.2%
Answer:
$1882.84
Step-by-step explanation:
Total cost = 109.25% = 109.25% x $1723.42 = $1882.84 (2dp)
Topic: Percentage
If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!
1.a. correct
1.b. 
1.c. correct
1.d. 
2.a. 7 - x + 3w - 9
Terms: 7, -x, 3w, -9
Variables: x, w
Coefficients: -1, 3
Constants: 7, -9
2.b. -g + 8k - 3 - 7
Terms: -g, 8k, -3, -7
Variables: g, k
Coefficients: -1, 8
Constants: -3, -7
3.a. correct
3.b. correct
3.c. -5+ 4x = -x
4.a. 4(2x + 3) = 8x + 12
4.b. -2(3x + 4) = -6x - 8
4.c. -5(2x - 3) = -10x + 15
